The price of fairness with the extended Perles-Maschler solution

DOI10.1007/s00186-014-0475-8zbMath1308.91073OpenAlexW2090113763MaRDI QIDQ471022

Jinxing Xie, Feimin Zhong, Xiao-Bo Zhao

Publication date: 13 November 2014

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-014-0475-8

zbMATH Keywords

convexitybargaining problemmatricesPerles-Maschler solutionprice of fairness

Mathematics Subject Classification ID

Cooperative games (91A12) Auctions, bargaining, bidding and selling, and other market models (91B26)

Cites Work

• Generalized maximin solutions in multicriteria bargaining
• A superadditive solution for cephoidal bargaining problems
• Non-existence of super-additive solutions for 3-person games
• A solution for two-person bargaining problems
• The super-additive solution for the Nash bargaining game
• Axiomatic models of bargaining
• A characterization of the leximin solution of the bargaining problem
• Extension of the Perles-Maschler solution to \(N\)-person bargaining games
• The Price of Fairness
• The Bargaining Problem
• Individual Monotonicity and Lexicographic Maxmin Solution
• Other Solutions to Nash's Bargaining Problem
• Matrix Iterative Analysis
• Unnamed Item